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342424424370 = 235712746127851
BaseRepresentation
bin1001111101110100001…
…01100000111110110010
31012201212010222002020210
410332322011200332302
521102241123034440
6421150235444550
733511411403640
oct4767205407662
91181763862223
10342424424370
1112224872a246
12564452b6756
13263a126bcb2
14128056ca190
158d91e43a80
hex4fba160fb2

342424424370 has 128 divisors (see below), whose sum is σ = 948704182272. Its totient is φ = 77480928000.

The previous prime is 342424424297. The next prime is 342424424387. The reversal of 342424424370 is 73424424243.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12280945 + ... + 12308795.

It is an arithmetic number, because the mean of its divisors is an integer number (7411751424).

Almost surely, 2342424424370 is an apocalyptic number.

342424424370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342424424370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474352091136).

342424424370 is an abundant number, since it is smaller than the sum of its proper divisors (606279757902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342424424370 is a wasteful number, since it uses less digits than its factorization.

342424424370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28456.

The product of its (nonzero) digits is 516096, while the sum is 39.

The spelling of 342424424370 in words is "three hundred forty-two billion, four hundred twenty-four million, four hundred twenty-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 127 210 254 381 461 635 762 889 922 1270 1383 1778 1905 2305 2667 2766 3227 3810 4445 4610 5334 6454 6915 8890 9681 13335 13830 16135 19362 26670 27851 32270 48405 55702 58547 83553 96810 117094 139255 167106 175641 194957 278510 292735 351282 389914 409829 417765 584871 585470 819658 835530 878205 974785 1169742 1229487 1756410 1949570 2049145 2458974 2924355 3537077 4098290 5848710 6147435 7074154 10611231 12294870 12839311 17685385 21222462 24759539 25678622 35370770 38517933 49519078 53056155 64196555 74278617 77035866 89875177 106112310 123797695 128393110 148557234 179750354 192589665 247595390 269625531 371393085 385179330 449375885 539251062 742786170 898751770 1348127655 1630592497 2696255310 3261184994 4891777491 8152962485 9783554982 11414147479 16305924970 22828294958 24458887455 34242442437 48917774910 57070737395 68484884874 114141474790 171212212185 342424424370